Antagonistic effects of nearest-neighbor repulsion on the superconducting pairing dynamics in the doped Mott insulator regime

Reymbaut, Alexis; Charlebois, M.; Fellous-Asiani, Marco; Fratino, Lorenzo; Sémon, P.; Sordi, G.; Tremblay, A.–M. S.

doi:10.1103/physrevb.94.155146

Cited by 26 publications

(28 citation statements)

References 123 publications

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“…A Kramers-Krönig analysis shows that this pole considerably lifts the low-energy value of ReΣ ano , enhancing the superconductivity 26,27,29,34,39,42 .…”

Section: Introductionmentioning

confidence: 98%

“…This result validates and substantiates the long-standing but still-speculative argument that the Mott-insulating state at zero doping is at the origin of the high-T c superconductivity, revealing the microscopic mechanism in terms of the self-energy structure. Figure 1(a) schematically illustrates the dopingtemperature (T ) phase diagram of the two-dimensional Hubbard model, obtained by quantum-cluster theories 3,14-18 , close to half filling (δ = 0) and at intermediate-to-strong coupling 3,4,[35][36][37][38][39] . The Mott-insulating state appears at δ = 0, where the self-energy shows a prominent pole [at ω 1 in Fig.…”

Section: Introductionmentioning

confidence: 99%

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Direct connection between Mott insulators and d -wave high-temperature superconductors revealed by continuous evolution of self-energy poles

2018

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The high-temperature superconductivity in copper oxides emerges when carriers are doped into the parent Mott insulator. This well-established fact has, however, eluded a microscopic explanation. Here we show that the missing link is the self-energy pole in the energy-momentum space. Its continuous evolution with doping directly connects the Mott insulator and high-temperature superconductivity. We show this by numerically studying the extremely small doping region close to the Mott insulating phase in a standard model for cuprates, the two-dimensional Hubbard model. We first identify two relevant self-energy structures in the Mott insulator; the pole generating the Mott gap and a relatively broad peak generating the so-called waterfall structure, which is another consequence of strong correlations present in the Mott insulator. We next reveal that either the Mottgap pole or the waterfall structure (the feature at the energy closer to the Fermi level) directly transforms itself into another self-energy pole at the same energy and momentum when the system is doped with carriers. The anomalous self-energy yielding the superconductivity is simultaneously born exactly at this energy-momentum point. Thus created self-energy pole, interpreted as arising from a hidden fermionic excitation, continuously evolves upon further doping and considerably enhances the superconductivity. Above the critical temperature, the same self-energy pole generates a pseudogap in the normal state. We thus elucidate a unified Mott-physics mechanism, where the self-energy structure inherent to the Mott insulator directly gives birth to both the hightemperature superconductivity and pseudogap. arXiv:1804.09271v1 [cond-mat.str-el]

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“…A Kramers-Krönig analysis shows that this pole considerably lifts the low-energy value of ReΣ ano , enhancing the superconductivity 26,27,29,34,39,42 .…”

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Direct connection between Mott insulators and d -wave high-temperature superconductors revealed by continuous evolution of self-energy poles

2018

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“…Quantum Monte Carlo (QMC) solvers, especially state of the art continuous-time (CT-QMC) solvers [27] are free of bath parametrization ambiguities. Up to now, CT-QMC solvers have been used to study only the superconducting [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] and the antiferromagnetic phases [28,43,44] separately. In principle, the question of coexistence can be addressed with these approaches, but this has yet to be done.…”

Section: Introductionmentioning

confidence: 99%

Coexistence of superconductivity and antiferromagnetism in the Hubbard model for cuprates

et al. 2019

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Antiferromagnetism and d-wave superconductivity are the most important competing ground-state phases of cuprate superconductors. Using cellular dynamical mean-field theory (CDMFT) for the Hubbard model, we revisit the question of the coexistence and competition of these phases in the one-band Hubbard model with realistic band parameters and interaction strengths. With an exact diagonalization solver, we improve on previous works with a more complete bath parametrization which is carefully chosen to grant the maximal possible freedom to the hybridization function for a given number of bath orbitals. Compared with previous incomplete parametrizations, this general bath parametrization shows that the range of microscopic coexistence of superconductivity and antiferromagnetism is reduced for band parameters for Nd 2−x Ce x CuO 4 , and confined to electron-doping with parameters relevant for YBa 2 Cu 3 O 7−X .

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“…Moreover, Refs. [64,69,70] established that pseudogap formation and superconducting pairing are both linked through short-ranged spin physics [71][72][73][74][75][76][77][78]. Closer to aforementioned experiments, Refs.…”

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confidence: 97%

Pseudogap, van Hove singularity, maximum in entropy, and specific heat for hole-doped Mott insulators

Reymbaut

Bergeron

Garioud

et al. 2019

Phys. Rev. Research

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The first indication of a pseudogap in cuprates came from a sudden decrease of NMR Knight shift at a doping-dependent temperature T * (δ). Since then, experiments have found phase transitions at a lower T * phase (δ). Using plaquette cellular dynamical mean-field for the square-lattice Hubbard model at high temperature, where the results are reliable, we show that T * (δ) shares many features of T * phase (δ). The remarkable agreement with several experiments, including quantum critical behavior of the electronic specific heat, supports the view that the pseudogap is controlled by a finite-doping extension of the Mott transition. We propose further experimental tests. PACS numbers: 71.30.+h, 74.25.Dw, 71.10.Fd Below a doping-dependent temperature T * , early studies of cuprate high temperature superconductors found a decrease in NMR Knight shift [1-5]. This freezing of uniform spin fluctuations, a thermodynamic quantity, became the first signature of what is widely referred to as the pseudogap, one of the remaining challenges for theory. With time, another definition of the pseudogap became more popular. Polarized neutron diffraction [6-8], Nernst effect measurements [9], ultrasound measurements [10], terahertz polarimetry [11] and optical anisotropy measurements [12] report that the prototypical YBa 2 Cu 3 O y undergoes a thermodynamic phase transition that breaks time-reversal, spatial inversion, twofold rotational, four-fold rotational and mirror symmetries below a doping-dependent temperature T * phase that is distinctly lower than T * at low doping. This suggests that phase transitions are a consequence of the pseudogap first observed in NMR, not the cause [13,14].In this paper, we address the nature of the pseudogap that was first found in NMR. We focus mostly on thermodynamic signatures at high temperature, where cluster generalizations of dynamical mean-field theory provide a reliable theoretical tool. The remarkable agreement that we find with several experiments supports the view that the high-temperature physics of the pseudogap is controlled by a finite-doping extension of the Mott transition that includes superexchange effects [15]. We propose further experimental tests to investigate that hypothesis.

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Antagonistic effects of nearest-neighbor repulsion on the superconducting pairing dynamics in the doped Mott insulator regime

Cited by 26 publications

References 123 publications

Direct connection between Mott insulators and d -wave high-temperature superconductors revealed by continuous evolution of self-energy poles

Direct connection between Mott insulators and d -wave high-temperature superconductors revealed by continuous evolution of self-energy poles

Coexistence of superconductivity and antiferromagnetism in the Hubbard model for cuprates

Pseudogap, van Hove singularity, maximum in entropy, and specific heat for hole-doped Mott insulators

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